Schramm, O., Smirnov, S.: On the scaling limits of planar percolation, Ann. Probab. 39(5), 1768-1814 (2011). With an appendix by Garban, C.Oded Schramm and Stanislav Smirnov. On the scaling limits of planar percolation. Ann. Probab., to appear, 2011. With an Appendix by Christophe...
Moreover, we obtain transition functions between pairs of the above distribution functions in suitably scaled limits. There are also similar results for a discrete totally asymmetric exclusion process. 0 被引用 · 0 笔记 引用 Symmetrized Random Permutations Jinho BaikEric M. Rains Jan 2001 ...
For a long-range parameter , we consider 𝟙𝟙𝟙 (1.2) for some symmetric function . We refer to g as the weight function of . For vertices i and j, this is to be interpreted as follows: when , the edge is present with probability 1 if , otherwise it is present with ...
A general formulation is presented for continuum scaling limits of stochastic spanning trees. A spanning tree is expressed in this limit through a consiste... M Aizenman,A Burchard,CM Newman,... - 《Random Structures & Algorithms》 被引量: 205发表: 1998年 Percolation and Minimal Spanning Fore...
The scaling function fD has the following limits imposed by asymptotic behavior in dilute and semi-dilute solutions (89) In a semi-dilute solution there is, therefore, little hope of observing universal asymptotic behavior for the cooperative diffusion constant (as for any other dynamic quantity),...
We study scaling limits and conformal invariance of critical site percolation on trian- gular lattice. We show that some percolation-related quantities are harmonic conformal invariants, and calculate their values in the scaling limit. A...
5. The purpose of social interactions is also diverse and spans a range of processes including communication, trust, grooming, dominance, or simply the loosely defined idea of friendship1,4,6. Correlations between social interactions, as for example dominance and physical contact, friendship ties ...
It is natural to expect that there are only three possible types of scaling limits for the collection of all percolation interfaces in the plane: (1) a trivial one, consisting of no curves at all, (2) a critical one, in which all points of the plane are surrounded by arbitrarily large...
However, the inductance value should not be too large in order to keep RpL within a reasonable range. At the same time, if the capacitance value is too small, the equivalent series resistance of the capacitors becomes dominant and the frequency f0 increases which may increase the uncertainty ...
We analyze the occurrence frequencies of over 15 million words recorded in millions of books published during the past two centuries in seven different languages. For all languages and chronological subsets of the data we confirm that two scaling regimes